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Finding the Fourth Proportional to 9,510.88, 14,258.76 and 4,310.68

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Solution

The fourth proportional to 9,510.88, 14,258.76 and 4,310.68 is: 6,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.88 : 14,258.76 = 4,310.68 : x
  2. Step 2: Convert to fraction form
    9,510.88/14,258.76 = 4,310.68/x
  3. Step 3: Cross multiply
    9,510.88x = 14,258.76 × 4,310.68
  4. Step 4: Simplify right side
    9,510.88x = 61,464,951.56
  5. Step 5: Solve for x
    x = 61,464,951.56/9,510.88
  6. Step 6: Final answer
    x = 6,462.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.